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The Apparent Brightness of a Star Is 1.0×1012 W/m21.0 \times 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 }

question 25

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The apparent brightness of a star is 1.0×1012 W/m21.0 \times 10 ^ { - 12 } \mathrm {~W} / \mathrm { m } ^ { 2 } and the peak wavelength in its light is 600 nm\mathrm { nm } . Assuming it is the same size as our sun and that it radiates like an ideal blackbody, estimate its distance from us, in parsecs. The constant in Wien's law is 0.00290 mK0.00290 \mathrm {~m} \cdot \mathrm { K } , and 1 parsec is equal to 3.09×1016 m.(Rsun =6.96×108 m,σ=5.67×108Wm2K4) 3.09 \times 10 ^ { 16 } \mathrm {~m} . \left( R _ { \text {sun } } = 6.96 \times 108 \mathrm {~m} , \sigma = 5.67 \times 10 ^ { - 8 } \frac { \mathrm { W } } { \mathrm { m } ^ { 2 } \cdot \mathrm { K } ^ { 4 } } \right)


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